1/216 as a Decimal

Answer

1/216 in decimals can be written as 0.00462963….. It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To get 1/216 in decimal, we will use the division method. Here as 1 is smaller than 216, we will take the help of the decimal method, which will give us 0.00462963. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (1) will be taken as the dividend and the denominator (216) will be taken as the divisor.

Step 2: As 1 is smaller than 216, it can't be divided. Here we will take the help of decimals. We will add 0s to the dividend, making it 1000, and add a decimal point in the quotient place.

Step 3: Now that it is 1000, we can start dividing it by 216. Let's see how many times 216 fits into 1000.

Step 4: 1000 is not a multiple of 216, so we will look for the nearest number that is 216 × 4 = 864. We will write 4 in the quotient place and subtract 864 from 1000 to get 136.

Step 5: Bring down another 0 in the dividend place to make it 1360, and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 1/216 as a decimal will be 0.00462963……

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
   
• Denominator: The bottom part of a fraction, showing how many parts make up a whole.
   
• Recurring Decimal: A decimal that repeats the same sequence of digits infinitely.